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Journal Articles Oil & Gas Science and Technology - Revue d'IFP Energies nouvelles Year : 2016

The Permeability of Boolean Sets of Cylinders

François Willot
Bassam Abdallah
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  • IdRef : 192206834
Dominique Jeulin

Abstract

Numerical and analytical results on the permeability of Boolean models of randomly-oriented cylinders with circular cross-section are reported. The present work investigates cylinders of prolate (highly-elongated) and oblate (nearly flat) types. The fluid flows either inside or outside of the cylinders. The Stokes flow is solved using full-fields Fourier-based computations on 3D binarized microstructures. The permeability is given for varying volume fractions of pores. A new upper-bound is derived for the permeability of the Boolean model of oblate cylinders. The behavior of the permeability in the dilute limit is discussed.

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hal-01490444 , version 1 (15-03-2017)

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François Willot, Bassam Abdallah, Dominique Jeulin. The Permeability of Boolean Sets of Cylinders. Oil & Gas Science and Technology - Revue d'IFP Energies nouvelles, 2016, 71 (4), ⟨10.2516/ogst/2016003⟩. ⟨hal-01490444⟩
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